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Finding the Fourth Proportional to 422,342.37, 582,832.44 and 231,355.71

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Solution

The fourth proportional to 422,342.37, 582,832.44 and 231,355.71 is: 319,270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,342.37 : 582,832.44 = 231,355.71 : x
  2. Step 2: Convert to fraction form
    422,342.37/582,832.44 = 231,355.71/x
  3. Step 3: Cross multiply
    422,342.37x = 582,832.44 × 231,355.71
  4. Step 4: Simplify right side
    422,342.37x = 134,841,612,967.23
  5. Step 5: Solve for x
    x = 134,841,612,967.23/422,342.37
  6. Step 6: Final answer
    x = 319,270.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.